Question

A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software programs and at most 300 video games per week. Total production cannot exceed 425 items per week. How many items of each kind should be produced per week in order to maximize the profit?
Use linear programming to solve. Show all your work.

Answer 1

Computer science class?

Answer 2

Never mind, just haven't heard of this concept.

Answer 3

algebra 2

Answer 4

Well you should start by giving each term a variable.

Let x = the # of software programs
Let y = the # of video games

x is less than or equal to 200
y is less than or equal to 300
x + y is less than or equal to 425

Since x makes more $ you want as many of those as possible. Then it's all about fitting in the rest with y.

Answer 5

how does x make more $ than y when its equal to or less than 200 ?

Answer 6

x, software programs, have a profit of $50
y, video games, have a profit of $35

Answer 7

so this is what i only know

x<= 200
y<= 300
x + y <= 425
but i dont know where to go from here .. how do i fit in the y? do i input them in the 50x ; 35y

like this ?
50<=200
35<=300

Answer 8

confusion consumes me 0_o

Answer 9

\[200 + y \le 425\]
\[y \le 225\]

200 of x per week, 225 of y per week

Both are within the constraints

Answer 10

You max profits by doing as many of the $50 as you can, then doing the rest as $35 ones

Answer 11

do as many 50's without going over the limit?

Answer 12

Yes

Answer 13

I am sure there is a more eloquent way of approaching that @Vocaloid may know of but I'm kind of hungry and there is steak downstairs.

Answer 14

That's the general idea

Answer 15

omg im sorry food always comes first thank you for the help i understand now!

Answer 16

It's all good. Glad I could help (: